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Mason P.L. - Multivariate Statistical Process Control with Industrial Application :: Электронная библиотека попечительского совета мехмата МГУ
 
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Mason P.L. - Multivariate Statistical Process Control with Industrial Application
Mason P.L. - Multivariate Statistical Process Control with Industrial Application

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Название: Multivariate Statistical Process Control with Industrial Application

Автор: Mason P.L.

Аннотация:

Detailed coverage of the practical aspects of multivariate statistical process control (MVSPC) based on the application of Hotelling's T2 statistic. MVSPC is the application of multivariate statistical techniques to improve the quality and productivity of an industrial process.. Provides valuable insight into the T2 statistic.


Язык: en

Рубрика: Технология/

Статус предметного указателя: Указатель в процессе заполнения

ed2k: ed2k stats

Год издания: 2001

Количество страниц: 263

Добавлена в каталог: 27.10.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abrupt process change      174
Acceptance region      132
Advanced process control (APC)      2 3
Alternative covariance estimators      26
Analysis-of-variance table      203
Anderson - Darling test      34
APC systems      see "Advanced process control"
AR(1) model      see "First-order autoregressive model"
AR(2) model      see "Second-order autoregressive model"
ARL      see "Average run length"
Autocorrelated observations      55 193 194
Autocorrelated processes      78
Autocorrelation      69 193 196 198
Autocorrelation, detecting      68 71-73
Autocorrelation, function      72
Autocorrelation, occurrence      69
Autocorrelation, pattern      194
Autocorrelation, sample estimator      72 78
Autocorrelation, useful indication of      76
Autoregressive function      72 202 206
Autoregressive model      193 212
Autoregressive residuals      193
Average run length (ARL) for a control procedure      111
Average run length (ARL), probability of detecting given shifts in      114
Backward-elimination scheme      156
batch processes      10 27 213
Batch processes, $T^{2}$ control procedure for      213
Batch processes, category 1      213 221
Batch processes, category 1, control regions for      215
Batch processes, category 1, outlier removal for      219
Batch processes, category 2      216 226
Batch processes, category 2, control region for      217
Batch processes, category 2, outlier removal for      226
Batch processes, estimation in      217
Batch processes, monitoring      213 234
Batch processes, Phase II formulas for      231
Batch processes, Phase II operation with      230
Batch processes, types of      213
Batch production      230
Beta distribution      24 34 50 85 247
Beta quantiles      41
Between-batch variation      218 226
Bivariate control region      117 120
Bivariate control region, geometrical representation      145
Bivariate normal, contours      18 19 35
Bivariate normal, distribution      140 141
Bivariate normal, probability function      17 19
Cause-and-effect relationship      69 196
Cause-selecting (CS) chart      132
Center line (CL)      111
Central limit theorem      107
Chebyshev procedure      96
Chebyshev procedure in a $T^{2}$ control chart      48
Chebyshev procedure, application of      48
Chebyshev procedure, procedure based on      92
Chebyshev procedure, theorem      51 92
Chi-square, distribution      21 23 85 113 241
Chi-square, probability function      23
Cl      see "Confidence interval"
Collinearity      55 80 174
Collinearity, detecting      65
Collinearity, occurrence      65
Collinearity, outliers      65
Collinearity, sampling restrictions      65
Collinearity, severe      67 78 182
Collinearity, theoretical relationships      65
Condition index      67 79
Condition number      67
Conditional $T^{2}$      126 129 149
Conditional distribution      148 159 172
Conditional mean      126 141 201
Conditional probability function      140
Conditional terms      157
Conditional terms, alternative forms of      172
Conditional terms, signaling of      169
Conditional variance      126 129 141 148 162 173
Continuous process      213
contours      18
Correlogram      72 206 212
Countercorrelation      129 159 161 169
Covariance estimator by partitioning the data      27
Covariance estimator for batches      218
Covariance estimator, alternative      27
Covariance estimator, based on successive difference      26
Covariance estimator, common      27
Covariance matrix      20
Covariance matrix, known      91
Covariance matrix, nonsingular      55
Covariance matrix, sample      21 29 65
Covariance matrix, singular      55 65 78
Covariance matrix, test of equality      229
Cyclic trend      197
Data, autocorrelated      70 211
Data, collection      61
Data, example      92 135
Data, exploration techniques      183
Data, in-control set      54
Data, incomplete      62
Data, missing      61 62
Data, preliminary set      78
Data, purging      85
Data, time-adjusted      208
Data, transforming      174
Decay, processes      98
Decay, stage      70 211 212
Decay, uniform      69 199 201 211 212
Determinant      30
Dimension-reduction technique      80
Discrete variables      50
Distance measure,      see "Statistical distance"
Distribution-free methods      48 81
Eigenvalues      78 79
Eigenvectors      78 79
Electronic data collectors      9 61
Elliptical contour      18-20
Elliptical control region      115 117
Elliptical distance      8
Equal-incremental-rate formulation      183
Error residuals      172
Euclidean distance      6 13-15 21 121 137
Experimental design      11
Expert knowledge      180
Exploring process data      192
Exponential autoregressive relationship      202
F distribution      22 24 50 85 242
False alarm rate      98
First-order autogressive model AR(1)      72 199 203 206
Forward-iterative scheme      155
Functional form of variables      64 173
Functional relationships      173 191
Global variable specifications      183
Goodness-of-fit test      36 51
Gradual process shifts, improving sensitivity      188
Graphical output      192
Historical data set (HDS)      22 78 176
Historical data set (HDS), analyzing      174
Historical data set (HDS), atypical observations      81
Historical data set (HDS), construction      54-56
Historical data set (HDS), hyperellipsoid      118 158
Historical data set (HDS), hypothesis test      83 229
Historical data set (HDS), outlier in      85
Industrial process      55
Input/output (I/O) curve      180
JMPT      11
Johnson system      47
Kernel smoothing technique      48 51 92 94 96
Kernel smoothing technique for approximation to UCL      48
Kolmogorov - Smirnov test      33
kurtosis      38 43
Kurtosis, Mardia's statistic      39
Kurtosis, sample estimate      39
Lag relationships      60
Lag values      72 209
LCL      see "Local control limit"
Life cycle      69
Log sheets      61
Lower control limit (LCL)      4
Lurking variable      196 199 226
Mahalanobis's distance      8 13
Matrix      28 31
Matrix, collinearity      65
Matrix, correlation      202
Matrix, determinant of      79
Matrix, eigenvalues      65
Matrix, eigenvectors      65
Matrix, inverse      29 66
Matrix, near-singular      66 67 79
Matrix, nonsingular      30 65
Matrix, positive definite      31 32 79 144
Matrix, square      30
Matrix, symmetric      30 79
Matrix, transpose      29
Mean of a sample monitoring of      26 86 119 232
Mean vector      20 29
Mean vector, estimate      162
Mean vector, known      91
Methods of detection      212
Missing data      62 154
Model creation, using data exploration      183
Model creation, using expert knowledge      180
Model specification      172
Model specification, correct      180
Multivariate control procedure      5 6 14
Multivariate control procedure, characteristics of      9
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